A College Nurse Obtained a Random Sample of 20 Students $$\begin{array} { l l l l l } 0 & 0 & 1 & 0 & 1 \\\hline 1 & 0 & 0 & 0 & 0 \\\hline 0 & 1 & 0 & 0 & 0 \\\hline 0 & 0 & 1 & 0 & 1\end{array}$$

Essay

A college nurse obtained a random sample of 20 students from the college. Each student was asked if they weretaking antidepressants. In the data, a 1 indicates the student is taking antidepressants and a 0 indicates they arenot taking antidepressants. $$\begin{array} { l l l l l } 0 & 0 & 1 & 0 & 1 \\\hline 1 & 0 & 0 & 0 & 0 \\\hline 0 & 1 & 0 & 0 & 0 \\\hline 0 & 0 & 1 & 0 & 1\end{array}$$ Treat these data as a simple random sample of all students at the college. Explain the algorithm in using thebootstrap method with 1000 resamples to obtain a 99% confidence interval for the proportion of all students atthe college who are taking antidepressants.